Let x be that number.
Let's create a system using what we have:
x^2 = 1/4 (1)
x+x = 1 (2)
In the equation (1):
x^2 = 1/4
So x = √1/4 = 1/2 OR x = -√1/4 = -1/2
Since the answer in the second equation is positive, so the acceptable answer is x = 1/2.
So the number that multiplies to be 1/4 but adds to be 1 is 1/2.
You can re-check your answer (very important):
x^2 = (1/2)^2 = 1/4
x+x = 1/2 + 1/2 = 1
The answer has been approved.
Hope this Helps! :)
